74418981120 has 576 divisors, whose sum is σ = 303283814400. Its totient is φ = 17089781760.

The previous prime is 74418981113. The next prime is 74418981163. The reversal of 74418981120 is 2118981447.

74418981120 is a `hidden beast` number, since 7 + 441 + 8 + 9 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7217889 + ... + 7228191.

It is an arithmetic number, because the mean of its divisors is an integer number (526534400).

Almost surely, 2^74418981120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74418981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151641907200).

74418981120 is an abundant number, since it is smaller than the sum of its proper divisors (228864833280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74418981120 is a wasteful number, since it uses less digits than its factorization.

74418981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 74418981120 in words is "seventy-four billion, four hundred eighteen million, nine hundred eighty-one thousand, one hundred twenty".